Answer:
Step-by-step explanation:
0.6x − 5 = 0.1x + 7
.6x-.1x=.5x
.5x -5 = 7
7 + 5 = 12
.5x = 12
12/.5 = 24
x = 24
The volume of a cylinder is given by the formula y = rrah, where r is the radius of the cylinder and h is the height.
Which expression represents the volume of this cylinder?
n = 2x + 7
0 0
0 24x3 – 12xx2 - 24 xX+63%
O 28x3 - 5 xX2 – 24 xX+63x
O 28x3 + 7 xx? - 18xx-63
The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be represented as V
Now , the radius of the cylinder r = ( x - 3 ) units
Let the height of the cylinder be h = ( 2x + 7 ) units
And , Volume of Cylinder = πr²h
On simplifying the equation , we get
Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )
Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )
On further simplification , we get
Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )
Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )
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Which relation is a function?
Answer:
bottom right graph
Step-by-step explanation:
Please.... I really need help with this ASAP
Answer:
90km/h
Step-by-step explanation:
The average speed is the total distance travelled/the time taken to do so. Being a distance-time graph, it shows that the car travelled 60km away from the starting point, stayed for a bit and then drove back. This gives a total distance of 120km. It also says that they started at 7:00am and finished at 8:20am which is 1 and 1/3 hours or 1.33 hours (1 hour 20minutes).
120/1.333...=90
Their average speed for the entire journey was 90km/h.
Hope this helped!
The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters, what is the height?
Answer:
7 cmStep-by-step explanation:
Given:Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]
Length of a rectangular prism ( l ) = 9 cm
Width of a rectangular prism ( w ) = 8 cm
To find:Height of a rectangular prism ( h ) = ?
Volume of a rectangle = lwh[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h
[tex]\dashrightarrow[/tex] 504 = 72 h
[tex]\dashrightarrow[/tex] 72h = 504
[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]
[tex]\dashrightarrow[/tex] h = 7 cm
The height of a rectangular prism is 7 cm.
Hope I helped!
Best regards!
~TheAnimeGirl
The height is 7 cm of the rectangular prism whose volume is 504 cm³.
What is a rectangular prism?A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.
From the general formula of the rectangular prism
Volume = length *width *height
Substituting the data given above
504 = 9 * 8 * height
Height = 7 cm
Therefore, the Height of the rectangular prism is 7 cm.
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If the expression 8x8x8x8 were written in exponential form, what would be the
exponent?
Answer:
the answer is 8^4
Step-by-step explanation:
Answer:
8 to the power of 4Step-by-step explanation:
8 times 8 times 8 times 8
is multiplied 4 times.
There are 4 eights.
Therefore, it's 8 to the power of 4.
Hope this helps! <3
The sum of two numbers is 32 their difference is 10. Find the numbers.
The two numbers are: 21 and 11
Step-by-step explanation:
Let x and y be the two numbers.
x+y = 32
x-y = 10 Rewrite this as x = y+10 and substitute for x in the first equation.
(y+10) + y = 32 Simplify and solve for y.
2y+10 = 32 Subtract 10 from both sides.
2y = 22 Divide both sides by 2.
y = 11
x = y+10
x = 11+10
x = 21
Answer:
y = 11
Step-by-step explanation:
x + y = 32
10 + y + y = 32
10 + 2y = 32
2y = 22
y = 11
I think this is it plz don't get mad if it is wrong
-4x-9y=-6
to slope intercept form
Answer:
y=-49x+23
Good Luck!!!
Answer:
y= -4/9x+2/3
Step-by-step explanation:
- Which expression is equivalent to the given expression? 2(3a + 2b ー 7) *
Answer:
6a+4b-14
Step-by-step explanation:
this is the answer
Erin is going to begin reading a book and
will read the same number of pages each
night.
The graph below shows p, the number of
pages remaining in her book, after a nights.
Answer:
The number of nights that she reads her book is 23
Step-by-step explanation:
According to the graph there are 156 pages and the slope shows she reads approximately 6.67 pages a night.
156 / 6.67 = 23. 3 = 23
Which of the following relations DOES NOT represent y as a function of x?
1. {(2,6),(5,9),(0,8),(6,4)}
II. {(2,9),(2,7),(-8,6),(0,8)}
III. {(9,7),(7,0),(-8,2),(9,4)}
IV. {(7,-2),(-7,0),(0,-6),(3,-4)}
II and III only
I and IV only
I, II, and IV only
O III and IV only
Answer:
ll and lll only that is the answer
Given the points below, find
XY
XY
.
X(-9, 2)
X(−9,2)
and
Y(5, -4)
Y(5,−4)
Answer:
XY=(-45,-8)
Step-by-step explanation:
XY=(-9,2)(5,-4)
What are the solutions to the quadratic equation 3(x − 4)2 = 75?
x = −9 and x = 1
x = −5 and x = 5
x = −4 and x = 4
x = −1 and x = 9
Answer:
x=-1 and x=9
Step-by-step explanation:
[tex]3(x-4)^{2} =75[/tex]
[tex](x-4)^{2} =\frac{75}{3}[/tex]
[tex](x-4)^{2}[/tex]=[tex]25[/tex]
[tex](x-4)(x-4)[/tex]=[tex]25[/tex]
[tex]x^{2} -4x-4x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16[/tex]=[tex]25[/tex]
[tex]x^{2} -8x+16-25=0[/tex]
[tex]x^{2} -8x-9=0[/tex]
[tex](x-9)(x+1)=0[/tex]
[tex]x-9=0\\x=0+9\\x=9[/tex] [tex]x+1=0\\x=0-1\\x=-1[/tex]
therefore x=9 and x=-1
Answer:
the answer is d x = −1 and x = 9
Step-by-step explanation:
What do the following two equations represent?
(B) Distinct parallel lines
Answer:
B. Distinct parallel lines
Step-by-step explanation:
These two equations have the same slope 4/3 which means they are parallel.
y = mx + b
m is slope
b is y-intercept
[tex]y = \frac{4}{3} x + \frac{5}{3}[/tex]
[tex]y - 8 = \frac{4}{3} (x + 6)[/tex]
[tex]y = \frac{4}{3} x + 16[/tex]
Which of the q-values satisfy the following inequality?
6-3q≤1
Answer:
[tex]q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]6-3q\leq 1\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6-3q-6\le \:1-6\\\\Simplify\\\\-3q\le \:-5\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-3q\right)\left(-1\right)\ge \left(-5\right)\left(-1\right)\\\\Simplify\\\\3q\ge \:5\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3q}{3}\ge \frac{5}{3}\\\\Simplify\\\\q\ge \frac{5}{3}\\\\q\geq 1\frac{2}{3}[/tex]
3.
Rewrite the equation y-2=-(x+5) in slope intercept form.
Answer: y-2=-(x+5)= Slope = -2.000/2.000 = -1.000
Step-by-step explanation: y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
i put the little tips at the end for math problems like this
Which statement is a correct interpretation of the vertical line test?
If only one vertical lire intersects the graph at exactly one point, the graph represents a function
Off only one vertical lire intersects the graph at exactly one point, the graph does not represent a function
• If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function
✓ x
the
Answer:
A and D
because those are the correct ones :)
Answer:
D. If any vertical line can intersect the graph at more than one point, the graph does not represent a function.
Explanation:
I took the quiz and got it right.
Hope this Helps!
Identify the number of molecules in the chemical formula for Butane.
5C4H10
2
4
5
or 10
Answer:
the way you have the question on here is weird, but I'm pretty sure the answer is 5
Step-by-step explanation:
molecules are groups of bonded atoms, so one molecule of Butane would be C4H10 by itself, but if you have 5 of those, you have 5 molecules.
however, if you're talking about the number of ATOMS in one molecule of Butane, there would be 14 (4 carbon, 10 hydrogen)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question
solve the problem
attached photo
Write the following equation in slope intercept form.
x-2y=42
y=__ x+__
Answer:
Blank 1: 1/2
Blank 2: -3
Step-by-step explanation:
Is (0, 3) a solution to the inequality y > 2x + 3?
Answer:
Step-by-step explanation:
20) For every 1 kilometer increase in altitude, the
temperature drops 7°C. Find the temperature
change for a 5 kilometer altitude increase.
Answer:
35 degrees hope this helps
Step-by-step explanation:
The reciprocal of 1/4 as a fraction Please help fast
Answer:
4/1
Step-by-step explanation:
Hope this help :P
Which of the scatter plots below shows the most accurate line of best fit?
W.
X.
Y.
Z.
A.
X
B.
W
C.
Y
D.
Z
Answer:
BStep-by-step explanation:
[tex]hii[/tex]
have a nice day ✌️
Determine the value of x
Answer:
x would be 10
Step-by-step explanation:
angles across from each other are always equal so x would be 10 because 3 times 10 is 30 and then add the other 10 to get 40
Answer:
x = 10
Step-by-step explanation:
Since these angles are vertical angles, we know that 40 = 3x + 10. Subtract 10 from both sides to get 30 = 3x. Divide both sides by 3 to get x = 10.
(5.3x10^7) - (1.1x10^4)
Scientific Notation please, thank you!
Answer:
m=6,9g
Step-by-step explanation:
Hope this helps leave a heart c:
2, Find the price of a a video game that costs $60.00 with 30% discount.
Enter the number only. Round to the nearest cent.
Answer:
18$
Step-by-step explanation:
Answer:
$18
Step-by-step explanation:
130% of what number is 20.8
Answer 16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
The equation would be 130% x N = 20.8
To solve you would have to switch the equation around and to do that you would divide. 130% is the same as 1.30 or 1.3
20.8 ÷ 1.3 = 16
N = 16
Hope that helps and have a great day!
what is the rule for the reflection ?
Answer:
Notation Rule A notation rule has the following form ry−axisA → B = ry−axis(x,y) → (−x,y) and tells you that the image A has been reflected across the y-axis and the x-coordinates have been multiplied by -1. Reflection A reflection is an example of a transformation that flips each point of a shape over the same line.
Step-by-step explanation:
Answer:
When you reflect, the y-coordinate remains the same, but the x-coordinate us transformed into the opposite (flip signs)
A winter jacket cost $200. It is on sale for 30% off when you have a coupon to save another 20%. How much do you have to pay for the jacket before taxes
Answer:
$100
Step-by-step explanation:
20%+30% = 50% off
50/100 = 1/2
200*1/2 = $100
NEED HELP ASAP!!!!!
What is the equation of the line that passes through the points (3,8) and (7,2)?
Answer:
A is the answer.
Step-by-step explanation:
Slope is (2-8)/(7-3) = -3/2.
Using point-slope formula you have two possibilities:
y-8= -3/2(x-3) [choice A] or y-2 = -3/2(x-7) [not a choice)
